# LIB2-298 — Withdrawn physical-generation implication of the triality carrier cycle

- class: RETIRED · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status None · attachment None · scorecard tier word none (PDF p.None)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The archived triality title presented the cycle of vector and spinor carriers as a generation mechanism.

## Caution

The physical replication reading is withdrawn; the triality cycle is not refuted and the discrete generation count is not derived.

## Primary source

Paper 0, Generation-replication boundary, PDF p.18: "algebraic replication of three generations inside a single J3 (Os ) is excluded: three families need 3 × 16 = 48 fermionic dimensions, which do not fit in the 27 (8+8+8 = 24 off-diagonal, and triality maps 8+ → 8− → 8v , so the blocks are not three gauge-identical copies) [A691]."

## Machine

- url: /library-v2/LIB2-298/
- content_sha256: ca75f676c9f02aaaad65cb01f5ba1391c3689e5ea4a416b32a8467b6081cbae7
- candidate_ids: C2-040

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP